Weyl's theorem and thin spectra

DOI10.1007/BF02837261zbMath0487.47015MaRDI QIDQ1165444

Shanti Prasanna

Publication date: 1982

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Weyl's theoremparanormalnormality conditionsthin spectrumcompact perturbation of a normal operatorisolated point of the spectrumpole of resolvent of order onepolynomially compactrestriction convexoid

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55)

Cites Work

• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Some Conditions of an Operator Implying Normality. II
• Some conditions on an operator implying normality
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